In a World Cup Group,there are 4 teams. Each team play against the other 3 once. So, six matches are totally played in a group. A team is awarded 3 points for a win, 1 for draw and 0 for a loss. At the end, how many different standings are possible? How to arrive at the answer?
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$\begingroup$ By standing you mean a quadruplet of total scores, e.g. (3,3,3,3) (which happens if all matches draw)? $\endgroup$– HeimdallDec 8, 2014 at 14:43
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$\begingroup$ @heimdall Exactly. $\endgroup$– CupertoDec 8, 2014 at 14:51
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$\begingroup$ Are (5,3,2,3) and (2,5,3,3) different standings? $\endgroup$– HeimdallDec 8, 2014 at 15:00
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$\begingroup$ @Heimdall Sorry.Should have mentioned explicitly.No. $\endgroup$– CupertoDec 8, 2014 at 15:17
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1$\begingroup$ I wrote code to find the possible standings for this answer. Just code, though, nothing systematic. $\endgroup$– jorikiJun 28, 2018 at 7:12
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